The Krein transform and semi-bounded extensions of semi-bounded linear relations
| Autor: | Rios-Cangas, Josué I. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | The Krein transform is the real counterpart of the Cayley transform and gives a one-to-one correspondence between the positive relations and symmetric contractions. It is treated with a slight variation of the usual one, resulting in an involution for linear relations. On the other hand, a semi-bounded linear relation has closed semi-bounded symmetric extensions with semi-bounded selfadjoint extensions. A self-consistent theory of semi-bounded symmetric extensions of semi-bounded linear relations is presented. By using The Krein transform, a formula of positive extensions of quasi-null relations is provided. Comment: 19 pages |
| Databáze: | arXiv |
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